Q: 4 Find a point on the x-axis, which is equidistant from the points and .
Point is on the x-axis, therefore, y coordinate is 0
Let's assume the point is (x, 0)
Now, it is given that the given point (x, 0) is equidistance from point (7, 6) and (3, 4)
We know that
Distance between two points is given by
Now,
and
Now, according to the given condition
Squaring both the sides
Therefore, the point is